The gravitational unit of force in the metric system is

Options

A. g wt
B. N
C. kgwt
D. None of these

Answer

To solve the question about the gravitational unit of force in the metric system, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Question**: The question asks for the gravitational unit of force in the metric system. We need to identify which of the provided options correctly represents this unit.

2. **Identifying the Options**: The options given are:
- Option 1: gram into weight
- Option 2: newton
- Option 3: kg into weight
- Option 4: none of these

3. **Analyzing the Options**:
- **Option 1 (gram into weight)**: This is not a standard unit of force in the metric system.
- **Option 2 (newton)**: This is indeed the standard unit of force in the metric system, but we need to check if it specifically refers to gravitational force.
- **Option 3 (kg into weight)**: This option suggests using kilograms multiplied by weight, which is a way to express gravitational force.
- **Option 4 (none of these)**: This option can be disregarded if we find a valid answer in the other options.

4. **Understanding Gravitational Force**: The gravitational force can be calculated using the formula:
\[ F = m \cdot g \]
where \( F \) is the force, \( m \) is the mass (in kilograms), and \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \) on the surface of the Earth).

5. **Determining the Correct Answer**:
- Since the gravitational force is expressed in terms of mass (in kg) multiplied by the acceleration due to gravity (weight), we can conclude that the correct representation of gravitational force in the metric system is given by **Option 3: kg into weight**.

6. **Final Answer**: Therefore, the gravitational unit of force in the metric system is **kg into weight**.